Wine quality data, Advanced Data Analytics -course

Dataset statistics

Number of variables	12
Number of observations	4898
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	772
Duplicate rows (%)	15.8%
Total size in memory	459.3 KiB
Average record size in memory	96.0 B

Variable types

Numeric	12

Alerts

Dataset has 772 (15.8%) duplicate rows	Duplicates
`alcohol` is highly overall correlated with `chlorides` and 1 other fields	High correlation
`chlorides` is highly overall correlated with `alcohol` and 1 other fields	High correlation
`density` is highly overall correlated with `alcohol` and 3 other fields	High correlation
`free sulfur dioxide` is highly overall correlated with `total sulfur dioxide`	High correlation
`residual sugar` is highly overall correlated with `density`	High correlation
`total sulfur dioxide` is highly overall correlated with `density` and 1 other fields	High correlation

Reproduction

Analysis started	2024-10-05 05:07:37.140246
Analysis finished	2024-10-05 05:08:10.906834
Duration	33.77 seconds
Software version	ydata-profiling vv4.10.0
Download configuration	config.json

fixed acidity
Real number (ℝ)

Distinct	68
Distinct (%)	1.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	6.8547877

Minimum	3.8
Maximum	14.2
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	3.8
5-th percentile	5.6
Q1	6.3
median	6.8
Q3	7.3
95-th percentile	8.3
Maximum	14.2
Range	10.4
Interquartile range (IQR)	1

Descriptive statistics

Standard deviation	0.84386823
Coefficient of variation (CV)	0.1231064
Kurtosis	2.1721785
Mean	6.8547877
Median Absolute Deviation (MAD)	0.5
Skewness	0.64775147
Sum	33574.75
Variance	0.71211359
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
6.8	308	6.3%
6.6	290	5.9%
6.4	280	5.7%
6.9	241	4.9%
6.7	236	4.8%
7	232	4.7%
6.5	225	4.6%
7.2	206	4.2%
7.1	200	4.1%
7.4	194	4.0%
Other values (58)	2486	50.8%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
3.8	1	< 0.1%
3.9	1	< 0.1%
4.2	2	< 0.1%
4.4	3	0.1%
4.5	1	< 0.1%
4.6	1	< 0.1%
4.7	5	0.1%
4.8	9	0.2%
4.9	7	0.1%
5	24	0.5%

Value	Count	Frequency (%)
14.2	1	< 0.1%
11.8	1	< 0.1%
10.7	2	< 0.1%
10.3	2	< 0.1%
10.2	1	< 0.1%
10	3	0.1%
9.9	2	< 0.1%
9.8	8	0.2%
9.7	4	0.1%
9.6	5	0.1%

volatile acidity
Real number (ℝ)

Distinct	125
Distinct (%)	2.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.27824112

Minimum	0.08
Maximum	1.1
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	0.08
5-th percentile	0.15
Q1	0.21
median	0.26
Q3	0.32
95-th percentile	0.46
Maximum	1.1
Range	1.02
Interquartile range (IQR)	0.11

Descriptive statistics

Standard deviation	0.10079455
Coefficient of variation (CV)	0.36225612
Kurtosis	5.0916258
Mean	0.27824112
Median Absolute Deviation (MAD)	0.06
Skewness	1.5769795
Sum	1362.825
Variance	0.010159541
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.28	263	5.4%
0.24	253	5.2%
0.26	240	4.9%
0.25	231	4.7%
0.22	229	4.7%
0.27	218	4.5%
0.23	216	4.4%
0.2	214	4.4%
0.3	198	4.0%
0.21	191	3.9%
Other values (115)	2645	54.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.08	4	0.1%
0.085	1	< 0.1%
0.09	1	< 0.1%
0.1	6	0.1%
0.105	6	0.1%
0.11	13	0.3%
0.115	3	0.1%
0.12	34	0.7%
0.125	3	0.1%
0.13	44	0.9%

Value	Count	Frequency (%)
1.1	1	< 0.1%
1.005	1	< 0.1%
0.965	1	< 0.1%
0.93	1	< 0.1%
0.91	1	< 0.1%
0.905	1	< 0.1%
0.85	1	< 0.1%
0.815	1	< 0.1%
0.785	1	< 0.1%
0.78	1	< 0.1%

citric acid
Real number (ℝ)

Distinct	87
Distinct (%)	1.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.33419151

Minimum	0
Maximum	1.66
Zeros	19
Zeros (%)	0.4%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	0
5-th percentile	0.17
Q1	0.27
median	0.32
Q3	0.39
95-th percentile	0.54
Maximum	1.66
Range	1.66
Interquartile range (IQR)	0.12

Descriptive statistics

Standard deviation	0.1210198
Coefficient of variation (CV)	0.36212711
Kurtosis	6.1749007
Mean	0.33419151
Median Absolute Deviation (MAD)	0.06
Skewness	1.2819204
Sum	1636.87
Variance	0.014645793
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.3	307	6.3%
0.28	282	5.8%
0.32	257	5.2%
0.34	225	4.6%
0.29	223	4.6%
0.26	219	4.5%
0.27	216	4.4%
0.49	215	4.4%
0.31	200	4.1%
0.33	183	3.7%
Other values (77)	2571	52.5%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	19	0.4%
0.01	7	0.1%
0.02	6	0.1%
0.03	2	< 0.1%
0.04	12	0.2%
0.05	5	0.1%
0.06	6	0.1%
0.07	12	0.2%
0.08	4	0.1%
0.09	12	0.2%

Value	Count	Frequency (%)
1.66	1	< 0.1%
1.23	1	< 0.1%
1	5	0.1%
0.99	1	< 0.1%
0.91	2	< 0.1%
0.88	1	< 0.1%
0.86	1	< 0.1%
0.82	2	< 0.1%
0.81	2	< 0.1%
0.8	2	< 0.1%

residual sugar
Real number (ℝ)

HIGH CORRELATION

Distinct	310
Distinct (%)	6.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	6.3914149

Minimum	0.6
Maximum	65.8
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	0.6
5-th percentile	1.1
Q1	1.7
median	5.2
Q3	9.9
95-th percentile	15.7
Maximum	65.8
Range	65.2
Interquartile range (IQR)	8.2

Descriptive statistics

Standard deviation	5.0720578
Coefficient of variation (CV)	0.79357355
Kurtosis	3.4698201
Mean	6.3914149
Median Absolute Deviation (MAD)	3.6
Skewness	1.0770938
Sum	31305.15
Variance	25.72577
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1.2	187	3.8%
1.4	184	3.8%
1.6	165	3.4%
1.3	147	3.0%
1.1	146	3.0%
1.5	142	2.9%
1.7	99	2.0%
1.8	99	2.0%
1	93	1.9%
2	79	1.6%
Other values (300)	3557	72.6%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.6	2	< 0.1%
0.7	7	0.1%
0.8	25	0.5%
0.9	39	0.8%
0.95	4	0.1%
1	93	1.9%
1.05	1	< 0.1%
1.1	146	3.0%
1.15	3	0.1%
1.2	187	3.8%

Value	Count	Frequency (%)
65.8	1	< 0.1%
31.6	2	< 0.1%
26.05	2	< 0.1%
23.5	1	< 0.1%
22.6	1	< 0.1%
22	2	< 0.1%
20.8	2	< 0.1%
20.7	2	< 0.1%
20.4	1	< 0.1%
20.3	1	< 0.1%

chlorides
Real number (ℝ)

HIGH CORRELATION

Distinct	160
Distinct (%)	3.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.045772356

Minimum	0.009
Maximum	0.346
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	0.009
5-th percentile	0.027
Q1	0.036
median	0.043
Q3	0.05
95-th percentile	0.067
Maximum	0.346
Range	0.337
Interquartile range (IQR)	0.014

Descriptive statistics

Standard deviation	0.021847968
Coefficient of variation (CV)	0.47731797
Kurtosis	37.5646
Mean	0.045772356
Median Absolute Deviation (MAD)	0.007
Skewness	5.0233307
Sum	224.193
Variance	0.00047733371
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.044	201	4.1%
0.036	200	4.1%
0.042	184	3.8%
0.04	182	3.7%
0.046	181	3.7%
0.048	174	3.6%
0.047	171	3.5%
0.045	170	3.5%
0.05	170	3.5%
0.034	168	3.4%
Other values (150)	3097	63.2%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.009	1	< 0.1%
0.012	1	< 0.1%
0.013	1	< 0.1%
0.014	4	0.1%
0.015	4	0.1%
0.016	5	0.1%
0.017	5	0.1%
0.018	10	0.2%
0.019	9	0.2%
0.02	16	0.3%

Value	Count	Frequency (%)
0.346	1	< 0.1%
0.301	1	< 0.1%
0.29	1	< 0.1%
0.271	1	< 0.1%
0.255	1	< 0.1%
0.244	1	< 0.1%
0.24	1	< 0.1%
0.239	1	< 0.1%
0.217	1	< 0.1%
0.212	1	< 0.1%

free sulfur dioxide
Real number (ℝ)

HIGH CORRELATION

Distinct	132
Distinct (%)	2.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	35.308085

Minimum	2
Maximum	289
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	2
5-th percentile	11
Q1	23
median	34
Q3	46
95-th percentile	63
Maximum	289
Range	287
Interquartile range (IQR)	23

Descriptive statistics

Standard deviation	17.007137
Coefficient of variation (CV)	0.48167827
Kurtosis	11.466342
Mean	35.308085
Median Absolute Deviation (MAD)	11
Skewness	1.4067449
Sum	172939
Variance	289.24272
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
29	160	3.3%
31	132	2.7%
26	129	2.6%
35	129	2.6%
34	128	2.6%
36	127	2.6%
24	118	2.4%
28	112	2.3%
33	112	2.3%
25	111	2.3%
Other values (122)	3640	74.3%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
2	1	< 0.1%
3	10	0.2%
4	11	0.2%
5	25	0.5%
6	32	0.7%
7	25	0.5%
8	35	0.7%
9	29	0.6%
10	55	1.1%
11	45	0.9%

Value	Count	Frequency (%)
289	1	< 0.1%
146.5	1	< 0.1%
138.5	1	< 0.1%
131	1	< 0.1%
128	1	< 0.1%
124	1	< 0.1%
122.5	1	< 0.1%
118.5	1	< 0.1%
112	1	< 0.1%
110	1	< 0.1%

total sulfur dioxide
Real number (ℝ)

HIGH CORRELATION

Distinct	251
Distinct (%)	5.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	138.36066

Minimum	9
Maximum	440
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	9
5-th percentile	75
Q1	108
median	134
Q3	167
95-th percentile	212
Maximum	440
Range	431
Interquartile range (IQR)	59

Descriptive statistics

Standard deviation	42.498065
Coefficient of variation (CV)	0.30715425
Kurtosis	0.57185323
Mean	138.36066
Median Absolute Deviation (MAD)	29
Skewness	0.39070984
Sum	677690.5
Variance	1806.0855
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
111	69	1.4%
113	61	1.2%
117	57	1.2%
118	55	1.1%
128	54	1.1%
114	54	1.1%
150	54	1.1%
122	54	1.1%
124	53	1.1%
140	52	1.1%
Other values (241)	4335	88.5%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
9	1	< 0.1%
10	1	< 0.1%
18	2	< 0.1%
19	1	< 0.1%
21	1	< 0.1%
24	3	0.1%
25	1	< 0.1%
26	1	< 0.1%
28	4	0.1%
29	2	< 0.1%

Value	Count	Frequency (%)
440	1	< 0.1%
366.5	1	< 0.1%
344	1	< 0.1%
313	1	< 0.1%
307.5	1	< 0.1%
303	1	< 0.1%
294	1	< 0.1%
282	1	< 0.1%
272	2	< 0.1%
260	1	< 0.1%

density
Real number (ℝ)

HIGH CORRELATION

Distinct	890
Distinct (%)	18.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.99402738

Minimum	0.98711
Maximum	1.03898
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	0.98711
5-th percentile	0.9896385
Q1	0.9917225
median	0.99374
Q3	0.9961
95-th percentile	0.999
Maximum	1.03898
Range	0.05187
Interquartile range (IQR)	0.0043775

Descriptive statistics

Standard deviation	0.0029909069
Coefficient of variation (CV)	0.0030088778
Kurtosis	9.7938069
Mean	0.99402738
Median Absolute Deviation (MAD)	0.00214
Skewness	0.977773
Sum	4868.7461
Variance	8.9455242 × 10^-6
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.992	64	1.3%
0.9928	61	1.2%
0.9932	53	1.1%
0.993	52	1.1%
0.9934	50	1.0%
0.9938	49	1.0%
0.9927	47	1.0%
0.9944	46	0.9%
0.9948	45	0.9%
0.9954	44	0.9%
Other values (880)	4387	89.6%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.98711	1	< 0.1%
0.98713	1	< 0.1%
0.98722	1	< 0.1%
0.9874	1	< 0.1%
0.98742	2	< 0.1%
0.98746	2	< 0.1%
0.98758	1	< 0.1%
0.98774	1	< 0.1%
0.98779	1	< 0.1%
0.98794	2	< 0.1%

Value	Count	Frequency (%)
1.03898	1	< 0.1%
1.0103	2	< 0.1%
1.00295	2	< 0.1%
1.00241	1	< 0.1%
1.0024	1	< 0.1%
1.00196	1	< 0.1%
1.00182	1	< 0.1%
1.0017	2	< 0.1%
1.0012	1	< 0.1%
1.00118	1	< 0.1%

pH
Real number (ℝ)

Distinct	103
Distinct (%)	2.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	3.1882666

Minimum	2.72
Maximum	3.82
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	2.72
5-th percentile	2.96
Q1	3.09
median	3.18
Q3	3.28
95-th percentile	3.46
Maximum	3.82
Range	1.1
Interquartile range (IQR)	0.19

Descriptive statistics

Standard deviation	0.1510006
Coefficient of variation (CV)	0.047361346
Kurtosis	0.53077495
Mean	3.1882666
Median Absolute Deviation (MAD)	0.1
Skewness	0.45778255
Sum	15616.13
Variance	0.022801181
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
3.14	172	3.5%
3.16	164	3.3%
3.22	146	3.0%
3.19	145	3.0%
3.18	138	2.8%
3.2	137	2.8%
3.15	136	2.8%
3.08	136	2.8%
3.1	135	2.8%
3.12	134	2.7%
Other values (93)	3455	70.5%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
2.72	1	< 0.1%
2.74	1	< 0.1%
2.77	1	< 0.1%
2.79	3	0.1%
2.8	3	0.1%
2.82	1	< 0.1%
2.83	4	0.1%
2.84	1	< 0.1%
2.85	9	0.2%
2.86	9	0.2%

Value	Count	Frequency (%)
3.82	1	< 0.1%
3.81	1	< 0.1%
3.8	2	< 0.1%
3.79	1	< 0.1%
3.77	2	< 0.1%
3.76	2	< 0.1%
3.75	2	< 0.1%
3.74	2	< 0.1%
3.72	3	0.1%
3.7	1	< 0.1%

sulphates
Real number (ℝ)

Distinct	79
Distinct (%)	1.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.48984688

Minimum	0.22
Maximum	1.08
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	0.22
5-th percentile	0.34
Q1	0.41
median	0.47
Q3	0.55
95-th percentile	0.71
Maximum	1.08
Range	0.86
Interquartile range (IQR)	0.14

Descriptive statistics

Standard deviation	0.11412583
Coefficient of variation (CV)	0.23298267
Kurtosis	1.5909296
Mean	0.48984688
Median Absolute Deviation (MAD)	0.07
Skewness	0.97719368
Sum	2399.27
Variance	0.013024706
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.5	249	5.1%
0.46	225	4.6%
0.44	216	4.4%
0.38	214	4.4%
0.42	181	3.7%
0.48	179	3.7%
0.45	178	3.6%
0.47	172	3.5%
0.4	168	3.4%
0.54	167	3.4%
Other values (69)	2949	60.2%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.22	1	< 0.1%
0.23	1	< 0.1%
0.25	4	0.1%
0.26	4	0.1%
0.27	13	0.3%
0.28	13	0.3%
0.29	16	0.3%
0.3	31	0.6%
0.31	35	0.7%
0.32	54	1.1%

Value	Count	Frequency (%)
1.08	1	< 0.1%
1.06	1	< 0.1%
1.01	1	< 0.1%
1	1	< 0.1%
0.99	1	< 0.1%
0.98	6	0.1%
0.97	1	< 0.1%
0.96	3	0.1%
0.95	5	0.1%
0.94	2	< 0.1%

alcohol
Real number (ℝ)

HIGH CORRELATION

Distinct	103
Distinct (%)	2.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	10.514267

Minimum	8
Maximum	14.2
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	8
5-th percentile	8.9
Q1	9.5
median	10.4
Q3	11.4
95-th percentile	12.7
Maximum	14.2
Range	6.2
Interquartile range (IQR)	1.9

Descriptive statistics

Standard deviation	1.2306206
Coefficient of variation (CV)	0.11704292
Kurtosis	-0.69842533
Mean	10.514267
Median Absolute Deviation (MAD)	1
Skewness	0.48734199
Sum	51498.88
Variance	1.514427
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
9.4	229	4.7%
9.5	228	4.7%
9.2	199	4.1%
9	185	3.8%
10	162	3.3%
10.5	160	3.3%
11	158	3.2%
10.4	153	3.1%
9.1	144	2.9%
9.8	136	2.8%
Other values (93)	3144	64.2%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
8	2	< 0.1%
8.4	3	0.1%
8.5	9	0.2%
8.6	23	0.5%
8.7	78	1.6%
8.8	107	2.2%
8.9	95	1.9%
9	185	3.8%
9.1	144	2.9%
9.2	199	4.1%

Value	Count	Frequency (%)
14.2	1	< 0.1%
14.05	1	< 0.1%
14	5	0.1%
13.9	3	0.1%
13.8	2	< 0.1%
13.7	7	0.1%
13.6	9	0.2%
13.55	1	< 0.1%
13.5	12	0.2%
13.4	20	0.4%

quality
Real number (ℝ)

Distinct	7
Distinct (%)	0.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	5.8779094

Minimum	3
Maximum	9
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	38.4 KiB

Quantile statistics

Minimum	3
5-th percentile	5
Q1	5
median	6
Q3	6
95-th percentile	7
Maximum	9
Range	6
Interquartile range (IQR)	1

Descriptive statistics

Standard deviation	0.88563857
Coefficient of variation (CV)	0.15067238
Kurtosis	0.21652583
Mean	5.8779094
Median Absolute Deviation (MAD)	1
Skewness	0.1557964
Sum	28790
Variance	0.78435569
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=7)

Value	Count	Frequency (%)
6	2198	44.9%
5	1457	29.7%
7	880	18.0%
8	175	3.6%
4	163	3.3%
3	20	0.4%
9	5	0.1%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
3	20	0.4%
4	163	3.3%
5	1457	29.7%
6	2198	44.9%
7	880	18.0%
8	175	3.6%
9	5	0.1%

Value	Count	Frequency (%)
9	5	0.1%
8	175	3.6%
7	880	18.0%
6	2198	44.9%
5	1457	29.7%
4	163	3.3%
3	20	0.4%

Auto

Heatmap
Table

	alcohol	chlorides	citric acid	density	fixed acidity	free sulfur dioxide	pH	quality	residual sugar	sulphates	total sulfur dioxide	volatile acidity
alcohol	1.000	-0.571	-0.029	-0.822	-0.107	-0.273	0.149	0.440	-0.445	-0.045	-0.477	0.034
chlorides	-0.571	1.000	0.033	0.508	0.095	0.167	-0.054	-0.314	0.228	0.094	0.375	-0.005
citric acid	-0.029	0.033	1.000	0.091	0.298	0.088	-0.146	0.018	0.025	0.080	0.093	-0.150
density	-0.822	0.508	0.091	1.000	0.270	0.328	-0.110	-0.348	0.780	0.095	0.564	0.010
fixed acidity	-0.107	0.095	0.298	0.270	1.000	-0.025	-0.418	-0.084	0.107	-0.013	0.113	-0.043
free sulfur dioxide	-0.273	0.167	0.088	0.328	-0.025	1.000	-0.006	0.024	0.346	0.052	0.619	-0.081
pH	0.149	-0.054	-0.146	-0.110	-0.418	-0.006	1.000	0.109	-0.180	0.140	-0.012	-0.045
quality	0.440	-0.314	0.018	-0.348	-0.084	0.024	0.109	1.000	-0.082	0.033	-0.197	-0.197
residual sugar	-0.445	0.228	0.025	0.780	0.107	0.346	-0.180	-0.082	1.000	-0.004	0.431	0.109
sulphates	-0.045	0.094	0.080	0.095	-0.013	0.052	0.140	0.033	-0.004	1.000	0.158	-0.017
total sulfur dioxide	-0.477	0.375	0.093	0.564	0.113	0.619	-0.012	-0.197	0.431	0.158	1.000	0.118
volatile acidity	0.034	-0.005	-0.150	0.010	-0.043	-0.081	-0.045	-0.197	0.109	-0.017	0.118	1.000

Count
Matrix

A simple visualization of nullity by column.

Nullity matrix is a data-dense display which lets you quickly visually pick out patterns in data completion.

First rows
Last rows

	fixed acidity	volatile acidity	citric acid	residual sugar	chlorides	free sulfur dioxide	total sulfur dioxide	density	pH	sulphates	alcohol	quality
0	7.0	0.27	0.36	20.7	0.045	45.0	170.0	1.0010	3.00	0.45	8.8	6
1	6.3	0.30	0.34	1.6	0.049	14.0	132.0	0.9940	3.30	0.49	9.5	6
2	8.1	0.28	0.40	6.9	0.050	30.0	97.0	0.9951	3.26	0.44	10.1	6
3	7.2	0.23	0.32	8.5	0.058	47.0	186.0	0.9956	3.19	0.40	9.9	6
4	7.2	0.23	0.32	8.5	0.058	47.0	186.0	0.9956	3.19	0.40	9.9	6
5	8.1	0.28	0.40	6.9	0.050	30.0	97.0	0.9951	3.26	0.44	10.1	6
6	6.2	0.32	0.16	7.0	0.045	30.0	136.0	0.9949	3.18	0.47	9.6	6
7	7.0	0.27	0.36	20.7	0.045	45.0	170.0	1.0010	3.00	0.45	8.8	6
8	6.3	0.30	0.34	1.6	0.049	14.0	132.0	0.9940	3.30	0.49	9.5	6
9	8.1	0.22	0.43	1.5	0.044	28.0	129.0	0.9938	3.22	0.45	11.0	6

	fixed acidity	volatile acidity	citric acid	residual sugar	chlorides	free sulfur dioxide	total sulfur dioxide	density	pH	sulphates	alcohol	quality
4888	6.8	0.220	0.36	1.20	0.052	38.0	127.0	0.99330	3.04	0.54	9.2	5
4889	4.9	0.235	0.27	11.75	0.030	34.0	118.0	0.99540	3.07	0.50	9.4	6
4890	6.1	0.340	0.29	2.20	0.036	25.0	100.0	0.98938	3.06	0.44	11.8	6
4891	5.7	0.210	0.32	0.90	0.038	38.0	121.0	0.99074	3.24	0.46	10.6	6
4892	6.5	0.230	0.38	1.30	0.032	29.0	112.0	0.99298	3.29	0.54	9.7	5
4893	6.2	0.210	0.29	1.60	0.039	24.0	92.0	0.99114	3.27	0.50	11.2	6
4894	6.6	0.320	0.36	8.00	0.047	57.0	168.0	0.99490	3.15	0.46	9.6	5
4895	6.5	0.240	0.19	1.20	0.041	30.0	111.0	0.99254	2.99	0.46	9.4	6
4896	5.5	0.290	0.30	1.10	0.022	20.0	110.0	0.98869	3.34	0.38	12.8	7
4897	6.0	0.210	0.38	0.80	0.020	22.0	98.0	0.98941	3.26	0.32	11.8	6

Most frequently occurring

	fixed acidity	volatile acidity	citric acid	residual sugar	chlorides	free sulfur dioxide	total sulfur dioxide	density	pH	sulphates	alcohol	quality	# duplicates
423	7.0	0.15	0.28	14.7	0.051	29.0	149.0	0.99792	2.96	0.39	9.0	7	8
557	7.3	0.19	0.27	13.9	0.057	45.0	155.0	0.99807	2.94	0.41	8.8	8	8
335	6.8	0.18	0.30	12.8	0.062	19.0	171.0	0.99808	3.00	0.52	9.0	7	7
589	7.4	0.16	0.30	13.7	0.056	33.0	168.0	0.99825	2.90	0.44	8.7	7	7
588	7.4	0.16	0.27	15.5	0.050	25.0	135.0	0.99840	2.90	0.43	8.7	7	6
592	7.4	0.19	0.30	12.8	0.053	48.5	229.0	0.99860	3.14	0.49	9.1	7	6
593	7.4	0.19	0.31	14.5	0.045	39.0	193.0	0.99860	3.10	0.50	9.2	6	6
641	7.6	0.20	0.30	14.2	0.056	53.0	212.5	0.99900	3.14	0.46	8.9	8	6
28	5.7	0.22	0.20	16.0	0.044	41.0	113.0	0.99862	3.22	0.46	8.9	6	5
110	6.2	0.23	0.36	17.2	0.039	37.0	130.0	0.99946	3.23	0.43	8.8	6	5

Overview

Variables

Interactions

Correlations

Missing values

Sample

Duplicate rows

Most frequently occurring